what is 6/22 simplest form.

Answer:-15

Step-by-step explanation:

-5+1=-4

-4/2=-2

-2^3=-8

-8-7=-15

The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.

Capacity refers to the product of the length, width, and height of a three-dimensional object or space.

The capacity of an object means the same as its volume.

Olympic-size swimming pools have the following standard dimensions:

Length = 50 m

Width = 25 m

Height = 2 m

Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)

= 660,000 gallons (2,500 x 1,000 ÷ 3.785)

An interval estimate shows the lower and upper limits.

6 x 105 gallons = 630 gallons

Thus, the capacity of the swimming pool is Option B.

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A. 100 gallons to 500 gallons

B. 500 gallons to 1,000 gallons

C. 1,000 gallons to 1,500 gallons

D. 1,500 gallons to 2,000 gallons

Answer:

5  hi

Step-by-step explanation:

Answer:

B, and i don't for the second one

Step-by-step explanation:

Answer:

\(\mathsf{slope=-\dfrac25}\)

Step-by-step explanation:

\(\mathsf{let \ (x_1,y_1)=(-8,2)}\)

\(\mathsf{let \ (x_2,y_2)=(7,-4)}\)

\(\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}\)

\(\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}\)

Answer:

-2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

Answer: student tickets = 208

Adult tickets = 97

Step-by-step explanation:

x + y = 305

x = 305 - y

5x + y = 693

Substituting

5 (305 - y) + y = 693

1525 - 5y + y = 693

-4y = -832

y = 832 / 4 = 208

The value of P(t) is \(\frac{dP}{dt} = k \cdot \sqrt{P}\)  and there will be approximately 220 fish in the lake after 1.6 years.

(a) This is a separable differential equation and can be solved using the separation of variables. We have:

\(\frac{dP}{dt}\) = k * \(\sqrt{P}\)

\(\frac{dP}{\sqrt{P}}\) = k * dt

Integrating on both sides:

2 * \(\sqrt{P}\) = k * t + C1

where C1 is a constant of integration. Solving for P, we have:

P(t) = \((k * t + C1)^2\) / 4

Using the initial condition P(0) = C, we can solve for C1:

C = \((C1)^2\) / 4

C1 = 2 * \(\sqrt{C}\)

Therefore, we have:

\(\frac{dP}{dt} = k \cdot \sqrt{P}\)

(b) There will be approximately 220 fish in the lake after 1.6 years.

Using the values given, we have:

C = 102

t = 7 months = 7/12 years = 0.5833 years

P(7 months) = 155

We can use this information to solve for k:

\(155 =\) \(\frac{(k * 0.5833 + 2 *\sqrt{102})^2}{4}\)

\(k = \frac{(4 * 155 - 4 * 2^2 *\sqrt{102})}{0.5833^2}\)

Now that we have k, we can find P(1.6 years):

\(P(t) = \frac{\left( k \cdot t + 2 \cdot \sqrt{C} \right)^2}{4}\)

By solving, the final value of k is approximately = 10.04

Substituting the value of k, we get:

P(1.6 years) = \(\frac{\left( 10.04 \cdot 1.6 + 2 \cdot \sqrt{102} \right)^2}{4}\)

By evaluating the expression, we get:

P(1.6 years) = 220.72

So, there will be approximately 220 fish in the lake after 1.6 years.

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Answer: B. Eighty-two percent is a statistic and 63% is a parameter

Step-by-step explanation:

Parameters are the values which are used to describe a given property for the entire population. On the other hand, statistics are the values which can be used to describe a given property for the sample.

In this scenario the 82% of users is pertaining to the 900 users sample and, therefore is a statistic while the 63% of users is pertaining to the whole population of the users and, thus, it is the parameter.

Therefore, the answer is option B. Eighty-two percent is a statistic and 63% is a parameter.

Answer:

B) Eighty-two percent is a statistic and 63% is a parameter.

that is the correct answer on flvs

Step-by-step explanation:

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

it's 644160 u need to times it if she swam 122 miles and each mile is 5280 and u answer is 644160

Answer:4:1

Step-by-step explanation:

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer: To find out how many rides take place in 28 minutes, we need to divide the total ride length by the length of one side, and then round down to the nearest whole number.

The length of one ride can be calculated by dividing the total ride length by the number of rides. Since we don't know the number of rides, let's call it "n":

length of one ride = total ride length / n

314 minutes / n

Now we can set up an equation to solve for "n":

28 minutes = length of one ride * number of rides

28 minutes = (314 minutes / n) * number of rides

We can simplify this equation by multiplying both sides by "n":

28 minutes * n = 314 minutes * number of rides

Dividing both sides by 314 minutes, we get:

n = (28 minutes * number of rides) / 314 minutes

Multiplying both sides by 314 minutes and dividing by 28 minutes, we get:

number of rides = (n * 314 minutes) / 28 minutes

number of rides = 11.21

Rounding down to the nearest whole number, we get:

number of rides = 11

Therefore, in 28 minutes, 11 rides take place.

Step-by-step explanation:

Answer:

185.22

Step-by-step explanation:

Answer:

274.8 dollars

Step-by-step explanation:

The tip was  17.73% of the original bill.

Percent is the value which indicate hundredth part of the quantity .

For Example : 50/100 represents 50%.

It is given in the question that

Bill for dinner  = $55.21

Tip given = $9.79

Tip percentage can be calculated using

Tip percent = (tip given / total bill) * 100

Tip percent = (9.79/55.21) * 100

= 0.1773 * 100

= 17.73 %

Therefore , the bill for the dinner was $55.21 and $9.79 was left for the tip ,the percent tip was 17.73% of the original bill .

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Answer:

sum = 37 + -18 =19

difference = 37 - -18 = 55

Step-by-step explanation:

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Given that the diameter of a circle is 8.4 inches.

The radius (r) of the circle can be found by dividing the diameter by 2:

r = d/2 = 8.4/2 = 4.2 inches

The area (A) of a circle can be found using the formula:

A = πr^2

Substituting the value of r, we get:

A = 3.14 x 4.2^2 = 55.3896 ≈ 55.39 square inches

The circumference (C) of a circle can be found using the formula:

C = 2πr

Substituting the value of r, we get:

C = 2 x 3.14 x 4.2 = 26.3896 ≈ 26.39 inches

Therefore, the area of the circle is approximately 55.39 square inches and the circumference of the circle is approximately 26.39 inches.

We know that the area of a circle is given by the formula A = π×r²

Given the diameter of the circle = 8.4 in

Therefore radius of the circle = 8.4/2 = 4.2 in    (diameter/2 = radius)

Now Area of the circle = π × 4.2²

                                     = 3.14 × 17.64
                                     = 55.3896

                                     = 55.39   (round up to the nearest hundredth)

Circumference of the circle = 2 × π × r

                                              = 2 × 3.14 × 4

                                              = 26.376

                                              = 26.38 (round up to the nearest hundredth)

Therefore the area of the circle is 55.39 in² and the circumference is 26.38 in.

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Answer:

1500kg

Step-by-step explanation:

50*30=1500

Answer:

the assistants salary before was $44,6653

Check the picture below.

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive